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2014

Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3

Mathematics 9709/31 May/June 2014 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2014: the question paper and its official mark scheme, 10 questions worth 70 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
57
Open the question paperMark scheme

File names: 9709_s14_qp_31 ยท 9709_s14_ms_31

Grade thresholds for 9709/31 May/June 2014

The minimum raw marks Cambridge set for each grade on this component (out of 75). Thresholds change every session and variant, so always compare your score with the paper you actually sat.

ABCDE
5752453728

Topics in this paper

Which syllabus chapters 9709/31 May/June 2014 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Polynomials218
Differentiation216
Trigonometry214
Complex Numbers18
Vectors18
Linear Law16
Integration1โ€“

Questions in 9709/31 May/June 2014

  1. Question 1Trigonometry ยท 5 marks

    (i) Simplify sin 2! sec !. (ii) Given that 3 cos โ€ฆ

  2. Question 2Integration
  3. Question 3Differentiation ยท 6 marks

    The parametric equations of a curve are x = ln2t โ€ฆ

  4. Question 4Linear Law ยท 6 marks

    The variables x and y are related by the differential equation dy dx = 6ye3x โ€ฆ

  5. Question 5Complex Numbers ยท 8 marks

    The complex number ร is de๏ฌned by โ€ฆ

  6. Question 6Polynomials ยท 8 marks

    It is given that 2 ln4x โˆ’5 + lnx โ€ฆ

  7. Question 7Vectors ยท 8 marks

    The straight line l has equation โ€ฆ

  8. Question 8Trigonometry ยท 9 marks

    (i) By sketching each of the graphs y = cosecx and โ€ฆ

  9. Question 9Polynomials ยท 10 marks
  10. Question 10Differentiation ยท 10 marks

Other Mathematics papers from May/June 2014

Questions students ask

Where can I get the 9709/31 May/June 2014 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s14_ms_31), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/31 May/June 2014?
57 marks out of 75, a C needed 45.
Which topics came up in 9709/31 May/June 2014?
Mostly Polynomials, Differentiation, Trigonometry. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2014?
No. Every paper opens for free without signing in. A free account also saves your pen marks and records your score against the grade thresholds.